The USB-ISP mode where the board will enumerate as a USB Mass storage device on a Windows PC. Just copy the compiled binary file to the storage device.

Use the free LPCXpresso IDE/Debugger together with, for example, an LPC-Link, a 10-pos IDC Ribbon cable and connect to the SWD interface (10-pin JTAG connector) on the board, see figure below. This allows you to both download and debug code on the board.

Use a debugger and JTAG adapter of your choice which supports the Cortex-M3 ARM core and more specifically the NXP LPC11U35 microcontroller. You might need an adapter such as the 10-pin to 20-pin JTAG Adapter Kit between your JTAG solution and the target board.